On Monday, the pair were snapped taking what appeared to be a romantic stroll through the streets of Venice, walking hand in hand together.

The actress, who has been in town to promote her new film, Seberg, at the Venice Film Festival, looked comfy while taking in the sights, wearing a peach tank dress and flats while Davidson donned a graphic tee and shorts with a baseball cap and sunglasses.

The night before their sight-seeing excursion, the two were photographed leaving a Venice hotel together.

For the evening — which seemed to be perhaps a date night — Qualley, 24, rocked a black blazer-style mini dress and silver heels, with her dark hair pulled back into a low ponytail.

A source toldE! News that the pair arrived at the Marco Polo Airport in Venice together last week, getting their bags and stopping to talk to a fan who asked for a photo. The outlet also reported that Davidson and Qualley were laughing together and looked like a couple, but didn’t display any PDA.

“They’re still friendly, but it just didn’t work out,” a source told PEOPLE about Davidson and Beckinsale, 46.

Qualley, the daughter of actress Andie MacDowell and her first husband Paul Qualley, is having a busy year in terms of her flourishing career.

In addition to starring in Quentin Tarantino‘s filmearlier this summer, the young star earned her first Emmy nomination for her role in the FX show Fosse/Verdon following her breakout role as Justin Theroux‘s daughter in HBO’s three-season hit The Leftovers.

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